If you have two twins, three triplets and four quadruplets; how many people do you have?

Question

In a contest, four fruits (an apple, a banana, an orange, and a pear) have been placed in four closed boxes (one fruit per box). People may guess which fruit is in which box. 123 people participate in the contest. When the boxes are opened, it turns out that 43 people have guessed none of the fruits correctly, 39 people have guessed one fruit correctly, and 31 people have guessed two fruits correctly.

How many people have guessed three fruits correctly, and how many people have guessed four fruits correctly?

Answer 1

2 x 2 + 3 x3 + 4 x 4 = 29 + wife = 30 + himself = 31